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" There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans. "
New School Algebra - Σελίδα 332
των George Albert Wentworth - 1898 - 407 σελίδες
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A Higher Algebra

George Albert Wentworth - 1891 - 577 σελίδες
...л/.г- + л/у = ± 8 (3) From (2) and (3), 2 л/а; = 14, 2л/^ = 2. .-.г = 49, and у = 1. 20. There are four numbers in geometrical progression,...the sum of the means as 7 to 3. Find the numbers. Let x = first number, and. у = ratio. Then x, xy, œy", xy3 = numbers. жу>-а!у = 24 (1) xy')t...

New School Algebra

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...first and third exceeds the second by 21. What are the numbers ? 23. Find two numbers whose sum is 3J and geometrical mean 1^. 24. The sum of the squares...smaller; by taking n large enough we can make the nth term, ar"~1, as small as we please, although we cannot make it absolutely zero. The sum of n terms,...

New School Algebra

George Albert Wentworth - 1898 - 407 σελίδες
...second by 21. What are the numbers ? 23. Find two numbers whose sum is 3j- and geometrical mean 1i. 24. The sum of the squares of two numbers exceeds...by taking n large enough we can make the иth term, ar""1, as small as we please, although we cannot make it absolutely zero. ft — ntj The sum of n terms,...

New School Algebra

George Albert Wentworth - 1898 - 407 σελίδες
...second by 21. -What are the numbers ? 23. Find two numbers whose sum is 3^ and geometrical mean 1J. 24. The sum of the squares of two numbers exceeds...3. Find the numbers. Infinite Geometrical Series. 870. When r is less than 1, the successive terms of a geometrical series become numerically smaller...

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George Albert Wentworth - 1904 - 324 σελίδες
...numbers is 48, and the arithmetical mean exceeds the geometrical mean by 18. Find the numbers. 20. There are four numbers in geometrical progression, the second of which is less thart the fourth by 24, and the sum of the extremes is to the sum of the means as 7 to 3. Find the...

TEST EXAMPLES IN ALGEBRA,

EDWARD OLNEY - 1870
...the squares of all the three numbers, as 5 to 7. What are the numbers ? Ans., 5, 10, and 20. (72.) There are four numbers in geometrical progression,...the extremes is to the sum of the means, as 7 to 3. What are the num bers?Ans., 1, 3, 9, 27. THE END OLNEY'S HIGHER MATHEMATICS, Therels0ne ね at 几...




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